6406566936 has 192 divisors, whose sum is σ = 20585664000. Its totient is φ = 1642717440.

The previous prime is 6406566883. The next prime is 6406566941. The reversal of 6406566936 is 6396656046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018810 + ... + 1025078.

It is an arithmetic number, because the mean of its divisors is an integer number (107217000).

Almost surely, 2^6406566936 is an apocalyptic number.

6406566936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406566936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292832000).

6406566936 is an abundant number, since it is smaller than the sum of its proper divisors (14179097064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6406566936 is a wasteful number, since it uses less digits than its factorization.

6406566936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The square root of 6406566936 is about 80041.0328269195. The cubic root of 6406566936 is about 1857.2703375574.

The spelling of 6406566936 in words is "six billion, four hundred six million, five hundred sixty-six thousand, nine hundred thirty-six".